Properties of the Number 16972

Sixteen Thousand Nine Hundred Seventy-Two

Basics

Value: 16971 → 16972 → 16973

Parity: even

Prime: No

Previous Prime: 16963

Next Prime: 16979

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 4243

Divisors: 1, 2, 4, 4243, 8486, 16972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001001001100

Octal: 41114

Duodecimal: 99A4

Hexadecimal: 424c

Square: 288048784

Square Root: 130.27662875589004

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k) is the number of connected posets of n unlabeled elements with k covering relations (n>=1, k>=0). Triangle read by rows. A342590

Number of partitions of the (n+7)-multiset {0,...,0,1,2,...,n} with seven 0's. A346853

Number of partitions of the (n+5)-multiset {0,...,0,1,2,...,5} with n 0's. A346858

Triangle T(n,k), 1<=k<=n: column k are the coefficients of the INVERT transform of ∑_i=1..k i·xⁱ. A380886

G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)^-2n )...)^-6)^-4)^-2. A138210

Base-8 palindromes that start with 4. A43024

Number A(n,k) of partitions of the (n+k)-multiset {0,...,0,1,2,...,k} with n 0's; square array A(n,k), n>=0, k>=0, read by antidiagonals. A346426

a(n) = (6·n + 5)⁴. A16972

Binary codes for polynomials (with coefficients 0 or 1) that are irreducible over Q, but reducible over GF(2). A260427